{"id":5698,"date":"2026-05-07T23:25:55","date_gmt":"2026-05-07T15:25:55","guid":{"rendered":"\/jase\/?post_type=tkuisotope&p=5698"},"modified":"2026-06-30T22:51:58","modified_gmt":"2026-06-30T14:51:58","slug":"cubic-quartic-optical-soliton-perturbation-with-complex-ginzburg-landau-equation","status":"publish","type":"tkuisotope","link":"\/jase\/?tkuisotope=cubic-quartic-optical-soliton-perturbation-with-complex-ginzburg-landau-equation","title":{"rendered":"Cubic-Quartic Optical Soliton perturbation with complex Ginzburg-Landau equation"},"content":{"rendered":"\n
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<\/i> 2021<\/a><\/p>\n<\/div>\n\n\n\n

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<\/i> Volume 24, Issue 6<\/a><\/p>\n<\/div>\n\n\n\n

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Anjan Biswas1,2,3,4<\/sup><\/i><\/a>, Yakup Y\u0131ld\u0131r\u0131m5<\/sup>, Mehmet Ekici6<\/sup>, Padmaja Guggilla1<\/sup>, Salam Khan1<\/sup>, O. Gonz\u00e1lez-Gaxiola7<\/sup>, Abdullah Khamis Alzahrani2<\/sup>, and Milivoj R. Belic8<\/sup><\/p>\n\n\n\n

1<\/sup>Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-4900, USA<\/p>\n\n\n\n

2<\/sup>Department of Mathematics, King Abdulaziz University, Jeddah-21589, Saudi Arabia<\/p>\n\n\n\n

3<\/sup>Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, Moscow-115409, Russian Federation<\/p>\n\n\n\n

4<\/sup>Department of Mathematics and Applied Mathematics\u201e Sefako Makgatho Health Sciences University, Medunsa\u20130204, South Africa<\/p>\n\n\n\n

5<\/sup>Department of Mathematics, Faculty of Arts and Sciences\u201e Near East University, 99138 Nicosia, Cyprus<\/p>\n\n\n\n

6<\/sup>Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey<\/p>\n\n\n\n

7<\/sup>Departamento de Matem\u00e1ticas Aplicadas y Sistemas, Universidad Aut\u00f3noma Metropolitana-Cuajimalpa. , Vasco de Quiroga
4871, 05348 Mexico City, Mexico<\/p>\n\n\n\n

8<\/sup>Institute of Physics Belgrade, Pregrevica 118, 11080 Zemun, Serbia<\/p>\n<\/div>\n\n\n\n

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Received:\u00a0December 9, 2020
Accepted:\u00a0December 29, 2020
Publication Date:\u00a0May 7, 2026<\/p>\n<\/div>\n<\/div>\n\n\n\n

\"\u4e0a\u50b3\u5716\u7247\"\n\n\n

The plot of the bright soliton solution (132) setting all arbitrary parameters to unity.<\/p>\n<\/div>\n<\/div>\n\n\n\n

<\/i> Copyright <\/strong>The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0)<\/a>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.<\/p>\n\n\n\n

Download Citation:  BibTeX <\/a>| http:\/\/dx.doi.org\/10.6180\/jase.202112_24(6).0014<\/a>  <\/p>\n\n\n\n

Download PDF<\/a><\/p>\n\n\n\n

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This paper secures a spectrum of cubic\u2013quartic optical solitons for perturbed complex Ginzburg\u2013Landau equation. There are eight powerful and prolific integration structures that made this retrieval possible. The perturbation terms are all of Hamiltonian type and are with maximum intensity. The existence criteria for such solitons naturally emerged from their respective parameter dynamics. As a byproduct, these schemes revealed periodic singular solutions.
OCIS Codes: 060.2310; 060.4510; 060.5530; 190.3270; 190.4370<\/p>\n\n\n\n

Keywords:\u00a0solitons; perturbation; Ginzburg\u2013Landau; non\u2013Kerr law<\/em><\/p>\n\n\n\n

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  1. [1] M. A. Abdou, A. A. Soliman, A. Biswas, M. Ekici, Q. Zhou & S.P. Moshokoa. \u201cDark\u2013singular combo optical solitons with fractional complex Ginzburg\u2013Landau equation”. Optik. Volume 171, 463\u2013467. (2018).<\/li>\n
  2. [2] G. Akram, N. Mahak, Application of the first integral method for solving (1+1)\u2013dimensional cubic\u2013quintic complex Ginzburg\u2013Landau equation”. Optik. Volume 164, 210\u2013217. (2018).<\/li>\n
  3. [3] A. H. Arnous, A. R. Seadawy, R. T. Alqahtani & A. Biswas. \u201cOptical solitons with complex Ginzburg\u2013Landau equation by modified simple equation method” Optik. Volume 144, 475\u2013480. (2017).<\/li>\n
  4. [4] S. Arshed. \u201cSoliton solutions of fractional complex Ginzburg\u2013Landau equation with Kerr law and non\u2013Kerr law media”. Optik. Volume 160, 322\u2013332. (2018).<\/li>\n
  5. [5] S. Arshed, A. Biswas, F. Mallawi & M. R. Belic. \u201cOptical solitons with complex Ginzburg\u2013Landau equation having three nonlinear forms”. Physics Letters A. Volume 383, Issue 36, 126026. (2019).<\/li>\n
  6. [6] A. Biswas. \u201cChirp\u2013free bright optical solitons and conservation laws for complex Ginzburg\u2013Landau equation with three nonlinear forms”. Optik. Volume 174, 207\u2013215. (2018).<\/li>\n
  7. [7] A. Biswas. \u201cTemporal 1\u2013soliton solution of the complex Ginzburg\u2013Landau equation with power law nonlinearity”. Progress in Electromagnetics Research. Volume 96, 1\u20137. (2009).<\/li>\n
  8. [8] A. Biswas & R. T. Alqahtani. \u201cOptical soliton perturbation with complex Ginzburg\u2013Landau equation by semi\u2013inverse variational principle”. Optik. Volume 147, 77\u201381. (2017).<\/li>\n
  9. [9] A. Biswas, Y. Yildirim, E. Yasar, H. Triki, A. S. Alshomrani, M. Z. Ullah, Q. Zhou, S. P. Moshokoa & M. Belic. \u201cOptical soliton perturbation with complex Ginzburg\u2013Landau equation using trial solution approach”. Optik. Volume 160, 44\u201360. (2018).<\/li>\n
  10. [10] A. Biswas, Y. Yildirim, E. Yasar, H. Triki, A. S. Alshomrani, M. Z. Ullah, Q. Zhou, S. P. Moshokoa & M. Belic. \u201cOptical soliton perturbation for complex Ginzburg\u2013Landau equation with modified simple equation method”. Optik. Volume 158, 399\u2013415. (2018).<\/li>\n
  11. [11] M. Mirzazadeh, M. Ekici, A. Sonmezoglu, M. Eslami, Q. Zhou, A. H. Kara, D. Milovic, F. B. Majid, A. Biswas & M. Belic. \u201cOptical solitons with complex Ginzburg\u2013Landau equation”. Nonlinear Dynamics. Volume 85, Issue 3, 1979\u20132016. (2016).<\/li>\n
  12. [12] S. Naghshband & M. A. F. Araghi. \u201cSolving generalized quintic complex Ginzburg\u2013Landau equation by homotopy analysis method”. Ain Shams Engineering Journal. Volume 9, Issue 4, 607\u2013613. (2018).<\/li>\n
  13. [13] M. S. Osman. \u201cOn complex wave solutions governed by the 2D Ginzburg\u2013Landau equation with variable coefficients”. Optik. Volume 156, 169\u2013174. (2018).<\/li>\n
  14. [14] S. Shwetanshumala. \u201cTemporal solitons of modified complex Ginzberg\u2013Landau equation”. Progress In Electromagnetics Research Letters. Volume 3, 17\u201324. (2008).<\/li>\n
  15. [15] H. Triki, S. Crutcher, A. Yildirim, T. Hayat, O.M. Aldossary & A. Biswas. \u201c Bright and dark solitons of the modified complex Ginzburg\u2013Landau equation with parabolic and dual\u2013power law nonlinearity”. Romanian Reports in Physics. Volume 64, Issue 2, 367\u2013380. (2012).<\/li>\n
  16. [16] Y. Yan & W. Liu. \u201cStable transmission of solitons in the complex cubic\u2013quintic Ginzburg\u2013Landau equation with nonlinear gain and higher\u2013order effects”. Applied Mathematics Letters. Volume 98, 171\u2013176. (2019).<\/li>\n
  17. [17] E. M. E. Zayed, M. E. M. Alngar, M. El\u2013Horbaty, A. Biswas, A. S. Alshomrani, M. Ekici, Y. Yildirm & M. R. Belic. \u201cOptical solitons with complex Ginzburg\u2013Landau equation having a plethora of nonlinear forms with a couple of improved integration norms”. Optik. Volume 207, 163804. (2020).<\/li>\n
  18. [18] Y. Zhao, C\u2013Y Xia & H\u2013B Zeng. \u201cCascade replication of soliton solutions in the one-dimensional complex cubic\u2013quintic Ginzburg\u2013Landau equation”. Physics Letters A. Volume 384, Issue 18, 126395. (2020).<\/li>\n
  19. [19] E. M. E. Zayed, M. E. M. Alngar, A. Biswas, S. Khan, M. Ekici, L. Moraru & A. S. Alshomrani. \u201cPure\u2013cubic optical soliton perturbation with complex Ginzburg\u2013Landau equation having a dozen of nonlinear refractive index structures”. Journal of Communications Technology and Engineering. Volume 66, Issue 5, 481\u2013544. (2021).<\/li>\n
  20. [20] M. Zhang, A. Zheng, Q. Chen & J. Liu. \u201cNitrogenvacancy defects induced bright, dark, and Ginzburg\u2013Landau phonon solitons in cavity arrays”. Optik. Volume 218, 165255. (2020).<\/li>\n<\/ol>\n<\/div>\n\n\n\n

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